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1 year ago

Determine if you UTV and RQS are similar if so right the similarities statement

Mathematics

1 answer:

Ahat [919]1 year ago

5 0

Based on the given triangles, let's check if they satisfy the SSS congruence. To prove that we have SSS congruence for triangles UTV and RQS, the sides must have equal proportions. Let's check the ratio for UT to RQ, TV to QS, and VU to SR. We have the following

$\begin{gathered} \frac{UT}{RQ}=\frac{70}{25}=\frac{14}{5} \\ \frac{TV}{QS}=\frac{42}{15}=\frac{14}{5} \\ \frac{VU}{SR}=\frac{84}{30}=\frac{14}{5} \end{gathered}$

All side ratio has the same value, hence, triangle UTV and triangle RQS are congruent based on SSS congruence.

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How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?

nignag [31]

Answer: A) 0 triangles

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Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

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3 years ago

Heba ate 1/12 of a box of cereal. Now the box is 3/4 full

vaieri [72.5K]

Answer:

5/6

Step-by-step explanation:

1/12 + 3/4 = 9/12

9/12 + 1/12 = 10/12

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3 years ago

Read 2 more answers

PLEASE HELP I AM STUCK ON THIS

Fofino [41]

Answer:

Step-by-step explanation:

This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:

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Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:

$sin^{-1}($

Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!

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4 years ago

If a^2+b^2= 4 and ab = 5, what is the value of (a+b)^2? A. 10 B. 12 C. 14 D. 16

wlad13 [49]

Answer:

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

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We know a^2+b^2 = 4 and ab= 5

4 + 2(5)

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3 years ago

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I am working on a test review. How can I write -1 <= 2x+7 <21 as two inequality statements? How do I join them with and/or

Tanya [424]

Answer:

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3 years ago

Determine if you UTV and RQS are similar if so right the similarities statement￼￼

Determine if you UTV and RQS are similar if so right the similarities statement